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Finding the Fourth Proportional to 420,202.84, 579,883.62 and 229,217.08

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Solution

The fourth proportional to 420,202.84, 579,883.62 and 229,217.08 is: 316,321.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,202.84 : 579,883.62 = 229,217.08 : x
  2. Step 2: Convert to fraction form
    420,202.84/579,883.62 = 229,217.08/x
  3. Step 3: Cross multiply
    420,202.84x = 579,883.62 × 229,217.08
  4. Step 4: Simplify right side
    420,202.84x = 132,919,230,116.23
  5. Step 5: Solve for x
    x = 132,919,230,116.23/420,202.84
  6. Step 6: Final answer
    x = 316,321.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.